1022688 has 72 divisors (see below), whose sum is σ = 3007368. Its totient is φ = 329472.

The previous prime is 1022683. The next prime is 1022689. The reversal of 1022688 is 8862201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15231 + ... + 15297.

It is an arithmetic number, because the mean of its divisors is an integer number (41769).

2^1022688 is an apocalyptic number.

1022688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503684).

1022688 is an abundant number, since it is smaller than the sum of its proper divisors (1984680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022688 is a wasteful number, since it uses less digits than its factorization.

1022688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1022688 is about 1011.2803765524. The cubic root of 1022688 is about 100.7506182912.

Adding to 1022688 its reverse (8862201), we get a palindrome (9884889).

The spelling of 1022688 in words is "one million, twenty-two thousand, six hundred eighty-eight".